Question

http://www.sketchtoy.com/36355459

@phi How would I do the first one?
The b looking things are 6's, btw. And OP = original problem.

Answer 1

http://www.sketchtoy.com/36356165

Answer 2

you should put in + signs between the terms

in the middle term, where did y^3 come from? the original has 6xy

Answer 3

the next step is not too hard:

for the numbers 21/3 in the first fraction, replace with 7/1 or just 7 in the top

Answer 4

the 6/3 in the 2nd fraction is replace with ?

Answer 5

hopefully you know 6/3 is 2 (or 2/1 to remind yourself, the 2 is in the top)

Answer 6

in the last term

- 30/3 becomes ?

Answer 7

How would I do x^2 /x

Answer 8

for the letters, remember this rule: x/x = 1
for example, if you have
\[ \frac{x \cdot y \cdot z}{ a \cdot b \cdot x} \]
notice there is an x in the top and bottom. they "cancel" (make 1) so you can drop them

Answer 9

the other thing to remember is x^3 means x*x*x (it is a short hand because people did not want to write out x^10 = x*x*x*x*x*x*x*x*x*x)

so you can write out x^2/x as x*x/x and cancel one set of x. you get x/1 or just x in the top

Answer 10

can you do this problem ?

Answer 11

http://www.sketchtoy.com/36357508

Answer 12

beautiful, a work of art, except for the last term xy/xy cancels, and leave just -10

I assume the original problem really is 6xy^3 (and not just 6xy) for the middle term?

Answer 13

in the middle term you can cancel x/x . They turn into 1,

Answer 14

can you try again?

Answer 15

The middle term is 6xy^3 yeah

Answer 16

There is really just one rule to remember: if you have the same letter in the top and bottom, you can drop both of them. They "cancel each other out"

can you try again?

Answer 17

I fixed it